# Wikipedia:WikiProject Numbers

This WikiProject is aimed at standardizing the pages on numbers. Although most of the articles on numbers currently follow a format, they do so to varying degrees. A template is given below based on the general tendencies of the number articles so far. Once the template has been examined and optimized, then the work will begin of converting each number article to conform.

## Guidelines

### How far to go?

There is no need to remind anyone here that there are infinitely many numbers, for we all already know that. Despite what some may rant, no one here has any intention of making a robot to make number articles. All number articles will be written by humans, because we want to have articles on numbers that humans might want to look up; thus the articles will take into account the humanistic qualities of numbers. So the question is, what numbers should there be articles for?

• Integers: Continuous from −1 to 200. Multiples of 100 from 300 to 900, then multiples of 1000 to 9000. Afterwards, only powers of 10 (from 1 up to 1012, higher than that only if they have a standard word name and commonly used SI prefix) and numbers with some remarkable mathematical property.
• Fractions: Fractions from halves (1/2) to twentieths (1/20 to 19/20) are acceptable at this point. Fractions that are in common use and have a code point assigned in the Unicode Number Forms block can use articles as well. (Composed characters don't count). Redirections for equivalent fractions need to be created.
• Reals: Important mathematical constants such as e and π.
• Imaginaries: At the very least, i
• Non-numerical entities: NaN, with a possible redirect from Not a Number
• Number bases: Those that are actually used (or have been used in the past) for practical calculations, such as binary, octal, decimal, hexadecimal, vigesimal, and sexagesimal.

#### Creating a new article or adding onto an existing one

Care should be taken to only create a new article on a number if there is sufficient known information to create an article that consists of more than just "N comes after N - 1 and before N + 1". As a guideline, you ought to know at least three interesting properties of a number. What constitutes interesting can be debated (see Wikipedia:Evaluating how interesting an integer's mathematical property is for one possible way of gauging this), but the point is that the careless creation of number article stubs is to be avoided. Also, and as importantly in many respects, which cultural and scientific properties (or otherwise) can be attributed to the number? For a complete number article, there need-be at least one accompanying important cultural association aside from mathematical properties present. If you only know one interesting mathematical property, consider jotting it down in an article on a near round number. For instance, if you want to write an article on 1050, see if something about it has already been written on it at 1000. That's the point of the series of stubs at the ends of articles like 500 and 7000, to see if there are numbers outside the declared project range that might merit their own article.

So, before creating a new article on a number, go over a checklist:

1. See if the number has already been written about at an article on a near round number (rounding down, i.e. if searching for the number 455, seek the page 400).
2. Name at least three interesting and unrelated mathematical properties of the number (or one earth-shatteringly interesting property, such as odd perfect number, or a quasiperfect number of either parity).
3. Fill out a Docuan table (see below) with the basic properties of the number (factorization, binary representation, etc.)
4. Understand whether other fields have associations with the number, so as to include whichever philosophical, cultural and scientific links that are relevant.
5. Follow the template below once you have sufficient information to start a new article, or add onto an existing one.

### Template for integers

#### Outline of template

Each article on a number ought to consist of two major sections, the first dealing with the mathematical properties of the number, the second dealing with the extramathematical properties of the number, such as cultural associations of the number.

1. Mathematical properties
1. Representation (decimal, Roman, Mayan, hexadecimal, etc.)
2. Arithmetic, number theory properties
3. Algebraic properties
4. Calculus properties
5. Geometric properties
2. Extra-mathematical properties
1. Most universal and eternal
2. Most local and ephemeral still worth listing.

This template (originally developed by Docu) is a subtractive template; i.e. given a number N that has all relevant mathematical properties (even mutually exclusive ones), including extra-mathematical properties. To use this template, replace the in-line generic statements with appropriate information:

N (number)

N (digit 10's place of number N-digit 1's place of number N) is the natural number following N - 1 and preceding N + 1. It is mainly known culturally (or in mathematics) for X and Y reason.

In mathematics

Number N
CardinalN
OrdinalNth
Numeral systemN-cimal or N-ary
Factorization(prime number) or px ... py
Roman numeralN
BinaryN2

N is the Xth prime number, the previous being N - 2x, with which it comprises a twin (or cousin, sexy) prime. It is also a Mersenne prime (or a a Fermat prime, a permutable prime, a palindromic prime, a composite number, a highly composite number, an abundant number, a surreal number, and an amicable number with ...)

It is the sum of n-consecutive primes, (px + px+1 + px+2...)

N has a Euler totient value of X.

It a polygonal number, and the square of x. It occurs in the X-sequence, and is an Y-type number.

In normal space, the interior or exterior angles of a X-agon measure N degrees each.

(Note: there should be links to the relevant articles (which already contain lists of that kind of number). There's little point in creating, say, a category of Mersenne primes; especially since most Mersenne primes won't ever have their own article.)

In other fields

N is also:

• The atomic number of elementium.
• The Messier Number of Object A
• The NGC (New General Catalog) Number of Object A
• The Saros Number of a solar (or lunar) eclipse series.
• Considered lucky/unlucky in Country A.
• Very important in Religion A's sacred texts. (* Better to let Wikipedians versed in theology decide which religious associations of a number ought to be included *)
• The designation of Country A's Highway Route Number N, which runs from Point A to Point B. (* Only major highways need be included, unless they have achieved fame beyond their location. *)
• The code for international direct dial phone calls to Country A.
• The registry number of the USS/HMS/RMS ShipName, CVN-Number N. (* Only major ships, such as aircraft carriers and gigantic cruise liners need be included. *)
• In the expression "folksy expression with Number N".
• In the title of the movie There's Something About Number N. (* Only major studio releases ought to be included. Include independent releases if they achieve fame comparable to a major studio release. *)
• In sport, the retired jersey number of legendary player Babe McGwire.

References

• Pencil, Sharp (January 2004). "Integers". Encyclopedia of Things. Open Publishing. Retrieved 2021-01-01.
• Eraser, Smooth (January 2022). "Constants". Encyclopedia of Things. Open Publishing. Retrieved 2023-01-01.

### Cultural associations

It is preferable to have a stub article than to pad an article with trivial or tenuously related information. Normal Wikipedia policies and guidelines should be considered when choosing what content to include in a number article. Specifically, any cultural associations of a number must be significant, verifiable, and covered with due weight. See the essay Wikipedia:"In popular culture" content for guidance on how to select appropriate cultural references.

Remember that the subject of the article is the number (the mathematical object), not the string of characters commonly used to represent the number. Take care to include only significant cultural associations of the number. Do not include content that relates to the article's title only as an identifier, or label, or simple enumeration, or measurement, or as a trivial mention. For example:

• Route 66 does not have a significant relationship with the number 66 - rather, the "66" is an identification code.
• 86 (novel series) is not about the number 86.
• The 35 in 35 mm film is a measurement, not a property of, or reference to, the number 35.
• The 9 in ISO 9 is a simple enumeration of a series of items, with no significant relationship with the number 9.
• The centre-forward in association football wearing the number 9 shirt is a trivial mention of the number 9.

If there is plausible ambiguity between such items and the given string of characters, the place to mention it would be on a disambiguation page for the number.